1. Eigenvalues and eigenvectors of a hydrogen atom
PHY 741 Quantum Mechanics
12-12:50 PM MWF Olin 103
Plan for Lecture 17:
Chapters 13
Eigenvalues and eigenvectors of a hydrogen atom
Quantum mechanics of atoms more generally
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3. Quantum mechanics of the hydrogen atom zre RN y x
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4. Quantum mechanics of the hydrogen atomz
In center of mass coordinates r y x
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9. Example of normalized radial functions Rnl(r):
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10. Hydrogen radial wavefunctions
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12. What about multi-electron atoms?
Digression – approximate analysis using variational methods
A very powerful tool for estimating eigenvalues and eigenvectors is based on transforming the problem into a variational form
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16. Back to estimate of wavefunction for He atom
Trial function for this case:
10/09/2017
PHY 741 Fall Lecture 17